Excerpt from Complete Graded Arithmetic: Oral and Written; Upon the Inductive Method of Instruction for Schools and Academies The pupil is led by a few simple appropriate examples to infer for him self the general principles upon which the operations and rules depend, instead of taking them upon the authority of the author without explana tion. He is thus taught to put the steps of particular solutions into a concise statement, or general formula. This method of developing princi ples is an important feature. It has been a cardinal point to make the explanations simple, the steps in the reasoning short and logical, and the definitions and rules brief, clear, and comprehensive. The discussion of topics which belong exclusively to the higher depart ments of the science is avoided; while subjects deemed too difficult to be appreciated by beginners, but important for them when more advanced, are placed in the Appendix, to be used at the discretion of the teacher. Arithmetical puzzles and paradoxes, and problems relating to subjects having a demoralizing tendency, as gambling, etc., are excluded. All that is obsolete in the former Tables of Weights and Measures is eliminated, and the part retained is corrected in accordance with present law and usage. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.